Manifolds and Mechanics

Klappentext This book provides an easy introduction to the theory of differentiable manifolds. Zusammenfassung This book provides an easy introduction to the theory of differentiable manifolds. The authors then show how the theory can be used to develop! simply but rigorously! the theory of Lanrangian mechanics directly from Newton's laws. Unnecessary abstraction has been avoided to produce an account suitable for students in mathematics or physics who have taken courses in advanced calculus. Inhaltsverzeichnis 1. Calculus preliminaries; 2. Differential manifolds; 3. Submanifolds; 4. Differentiability; 5. Tangent spaces and maps; 6. Tangent bundles as manifolds; 7. Partial derivatives; 8. Deriving Langrange's equations; 9. Form of Langrange's equations; 10. Vectorfields; 11. Langrangian vectorfields; 12. Flows; 13. The spherical pendulum; 14. Rigid bodies.

Product details

• Authors: Hutton Robert, Gray Alistair, Robert Hutton, Arthur Jones, A. Jones, Alistair Gray
• Publisher: External catalogues UK
• Content: Book
• Product form: Paperback / Softback
• Publication date: 09.06.2009
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Geometry
• EAN: 9780521336505
• ISBN: 978-0-521-33650-5
• Series: Australian Mathematical Societ > 2; Australian Mathematical Society Lecture Series
• Subjects: MATHEMATICS / Applied; Applied mathematics